LCM of 232, 765, 361, 272, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 765, 361, 272, 425 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 232, 765, 361, 272, 425. So, keep reading to learn more.
Given numbers are 232,765,361,272,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,765,361,272,425 is 640702800.
Find LCM of 232,765,361,272,425 with Prime Factorization
| 2 | 232, 765, 361, 272, 425 |
| 2 | 116, 765, 361, 136, 425 |
| 2 | 58, 765, 361, 68, 425 |
| 5 | 29, 765, 361, 34, 425 |
| 17 | 29, 153, 361, 34, 85 |
| 29, 9, 361, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 29 x 9 x 361 x 2 x 5 = 640702800
Therefore, the lowest common multiple of 232,765,361,272,425 is 640702800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
232 x 765 x 361 x 272 x 425 = 7406524368000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
232 : 1, 2, 4, 8, 29, 58, 116, 232
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
361 : 1, 19, 361
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,765,361,272,425, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
765:3x 3x 5x 17
361:19x 19
272:2x 2x 2x 2x 17
425:5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 17x 17 = 11560
Therefore, the value for common factors is 11560.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 7406524368000/(1x11560)
LCM = 7406524368000/11560
LCM = 640702800
Thus, we can understand that the LCM of 232,765,361,272,425 is 640702800.
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FAQs on LCM of 232, 765, 361, 272, 425
1. What is the LCM of 232, 765, 361, 272, 425?
Answer: LCM of 232, 765, 361, 272, 425 is 640702800.
2. How to calculate the LCM of 232, 765, 361, 272, 425?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 232, 765, 361, 272, 425.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.